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Finding the Fourth Proportional to 206,159.78, 284,673.84 and 155,083.98

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Solution

The fourth proportional to 206,159.78, 284,673.84 and 155,083.98 is: 214,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,159.78 : 284,673.84 = 155,083.98 : x
  2. Step 2: Convert to fraction form
    206,159.78/284,673.84 = 155,083.98/x
  3. Step 3: Cross multiply
    206,159.78x = 284,673.84 × 155,083.98
  4. Step 4: Simplify right side
    206,159.78x = 44,148,352,109.08
  5. Step 5: Solve for x
    x = 44,148,352,109.08/206,159.78
  6. Step 6: Final answer
    x = 214,146.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.